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Refined error estimates for the Riccati equation with applications to the angular Teukolsky equation

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Finster, Felix ; Smoller, Joel
Date of publication of this fulltext: 14 Oct 2013 08:18


We derive refined rigorous error estimates for approximate solutions of
Sturm-Liouville and Riccati equations with real or complex potentials. The approxi-
mate solutions include WKB approximations, Airy and parabolic cylinder functions,
and certain Bessel functions. Our estimates are applied to solutions of the angular
Teukolsky equation with a complex aspherical parameter in a rotating black hole
Kerr geometry.

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